Answer:
Step-by-step explanation:
Solve the inequality 5x − 4y > 20 for y, as follows: Subtract 5x from both sides, obtaining:
-4y > 20 - 5x;
Then divide all terms by -4:
y < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.
Temporarily replace the < symbol with = obtaining y = -5 +(5/4)x. Now choose at least three x values and find the corresponding y values. For example:
x y = -5 +(5/4)x
0 -5
4 0
-8 -15
Now plot these three points (0, -5), (4, 0) and (-8, -15). Draw a dashed line through them. Because of the < symbol in y < -5 +(5/4)x, shade the area underneath the dashed line.
Answer:
4^(-11)
Step-by-step explanation:
To divide powers, subtract the exponents.
4^(-2) / 4^9
-2-9=-11
So, the answer is 4^(-11), which is basically 4 to the eleventh power.
The answer is A.
Reasoning:
Choice B says to subtract 1/5. However since 1/5 has a variable next to it, it would need to be divided not subtracted
Answer:
c1) adjacent
c2) not adjacent
c3) adjacent
c4) not adjacent
c5) adjacent
c6) not adjacent
d1) 20°
Complement: 90° - 20° = 80°
Supplement: 180° - 20° = 160°
d2) 77°
Complement: 90° - 77° = 13°
Supplement: 180° - 77° = 103°
d3) 101°
Complement: doesn't have a complement.
Supplement: 180° - 101° = 79°
d4) 90°
Complement: 90° - 90° = 0°
Supplement: 180° - 90° = 90°
d5) 96°
Complement: doesn't have a complement
Supplement: 180° - 96° = 84°
d6) x
Complement: 90° - x
Supplement: 180° - x
d7) y
Complement: 90° - y
Supplement: 180° - y